Liam, Paul, Ian and Vincent bought a television for their aunt. Liam paid
13 of what the rest paid. Paul paid
14 of what the rest paid. Ian paid
15 of what the rest paid. Vincent paid $56 more than Liam. How much did the television cost?
| Liam |
Paul |
Ian |
Vincent |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 5 and 6 is 60.
Amount that Vincent had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Vincent paid more than Liam
= 23 u - 15 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Cost of the television
= 60 u
= 60 x 7
= $420
Answer(s): $420
